TSTP Solution File: SYN090-1.008 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 12:10:00 EDT 2022

% Result   : Unsatisfiable 0.91s 1.09s
% Output   : Refutation 0.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 16:33:49 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.36  ----- Otter 3.2, August 2001 -----
% 0.20/0.36  The process was started by sandbox on n027.cluster.edu,
% 0.20/0.36  Mon Jul 11 16:33:49 2022
% 0.20/0.36  The command was "./sos".  The process ID is 15810.
% 0.20/0.36  
% 0.20/0.36  set(prolog_style_variables).
% 0.20/0.36  set(auto).
% 0.20/0.36     dependent: set(auto1).
% 0.20/0.36     dependent: set(process_input).
% 0.20/0.36     dependent: clear(print_kept).
% 0.20/0.36     dependent: clear(print_new_demod).
% 0.20/0.36     dependent: clear(print_back_demod).
% 0.20/0.36     dependent: clear(print_back_sub).
% 0.20/0.36     dependent: set(control_memory).
% 0.20/0.36     dependent: assign(max_mem, 12000).
% 0.20/0.36     dependent: assign(pick_given_ratio, 4).
% 0.20/0.36     dependent: assign(stats_level, 1).
% 0.20/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.36     dependent: assign(sos_limit, 5000).
% 0.20/0.36     dependent: assign(max_weight, 60).
% 0.20/0.36  clear(print_given).
% 0.20/0.36  
% 0.20/0.36  list(usable).
% 0.20/0.36  
% 0.20/0.36  SCAN INPUT: prop=1, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.20/0.36  
% 0.20/0.36  The clause set is propositional; the strategy will be
% 0.20/0.36  ordered hyperresolution with the propositional
% 0.20/0.36  optimizations, with satellites in sos and nuclei in usable.
% 0.20/0.36  
% 0.20/0.36     dependent: set(hyper_res).
% 0.20/0.36     dependent: set(propositional).
% 0.20/0.36     dependent: set(sort_literals).
% 0.20/0.36  
% 0.20/0.36  ------------> process usable:
% 0.20/0.36    Following clause subsumed by 0 during input processing: 0 [propositional] {-} -p_7|p_15.
% 0.20/0.36    Following clause subsumed by 0 during input processing: 0 [propositional] {-} -q_7|q_15.
% 0.20/0.36  
% 0.20/0.36  ------------> process sos:
% 0.20/0.36  
% 0.20/0.36  ======= end of input processing =======
% 0.20/0.41  
% 0.20/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.41  
% 0.20/0.41  Stopped by limit on number of solutions
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  -------------- Softie stats --------------
% 0.20/0.41  
% 0.20/0.41  UPDATE_STOP: 300
% 0.20/0.41  SFINDER_TIME_LIMIT: 2
% 0.20/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.41  number of clauses in intial UL: 59
% 0.20/0.41  number of clauses initially in problem: 63
% 0.20/0.41  percentage of clauses intially in UL: 93
% 0.20/0.41  percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.41  percent of all initial clauses that are short: 100
% 0.20/0.41  absolute distinct symbol count: 34
% 0.20/0.41     distinct predicate count: 0
% 0.20/0.41     distinct function count: 0
% 0.20/0.41     distinct constant count: 34
% 0.20/0.41  
% 0.20/0.41  ---------- no more Softie stats ----------
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.41  
% 0.20/0.41  Stopped by limit on number of solutions
% 0.20/0.41  
% 0.20/0.41  =========== start of search ===========
% 0.91/1.09  
% 0.91/1.09  -------- PROOF -------- 
% 0.91/1.09  % SZS status Unsatisfiable
% 0.91/1.09  % SZS output start Refutation
% 0.91/1.09  
% 0.91/1.09  Stopped by limit on insertions
% 0.91/1.09  
% 0.91/1.09  Model 3 [ 1 1 34 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.09  
% 0.91/1.09  Stopped by limit on insertions
% 0.91/1.09  
% 0.91/1.09  Model 4 [ 1 0 37 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.09  
% 0.91/1.09  Stopped by limit on insertions
% 0.91/1.09  
% 0.91/1.09  Model 5 [ 2 0 37 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 6 [ 2 0 43 ] (0.00 seconds, 180144 Inserts)
% 0.91/1.09  
% 0.91/1.09  Stopped by limit on insertions
% 0.91/1.09  
% 0.91/1.09  Model 7 [ 2 5 241688 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.09  
% 0.91/1.09  Stopped by limit on insertions
% 0.91/1.09  
% 0.91/1.09  Model 8 [ 3 0 42 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 9 [ 3 3 168540 ] (0.00 seconds, 182237 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 10 [ 4 0 47 ] (0.00 seconds, 166605 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 11 [ 4 2 94277 ] (0.00 seconds, 158820 Inserts)
% 0.91/1.09  
% 0.91/1.09  Stopped by limit on insertions
% 0.91/1.09  
% 0.91/1.09  Model 12 [ 5 0 34 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 13 [ 5 1 62254 ] (0.00 seconds, 96874 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 14 [ 6 0 34 ] (0.00 seconds, 248675 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 15 [ 6 1 37621 ] (0.00 seconds, 70519 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 16 [ 7 1 53 ] (0.00 seconds, 79743 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 17 [ 7 0 8142 ] (0.00 seconds, 37280 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 18 [ 8 0 34 ] (0.00 seconds, 102147 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 19 [ 8 1 584 ] (0.00 seconds, 137519 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 20 [ 8 1 29710 ] (0.00 seconds, 41492 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 21 [ 9 1 34 ] (0.00 seconds, 118761 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 22 [ 9 1 35408 ] (0.00 seconds, 37216 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 23 [ 10 0 58 ] (0.00 seconds, 29034 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 24 [ 10 0 12293 ] (0.00 seconds, 20590 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 25 [ 11 1 61 ] (0.00 seconds, 20819 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 26 [ 11 0 22611 ] (0.00 seconds, 23688 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 27 [ 12 1 62 ] (0.00 seconds, 18078 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 28 [ 12 1 1587 ] (0.00 seconds, 9664 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 29 [ 13 0 34 ] (0.00 seconds, 15158 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 30 [ 13 1 63 ] (0.00 seconds, 12782 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 31 [ 14 0 3645 ] (0.00 seconds, 20275 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 32 [ 14 1 34 ] (0.00 seconds, 32363 Inserts)
% 0.91/1.09  
% 0.91/1.09  Model 33 [ 15 1 3679 ] (0.00 seconds, 13793 Inserts)
% 0.91/1.09  
% 0.91/1.09  -----> EMPTY CLAUSE at   0.70 sec ----> 152 [hyper,151,1,150] {-} $F.
% 0.91/1.09  
% 0.91/1.09  Length of proof is 54.  Level of proof is 15.
% 0.91/1.09  
% 0.91/1.09  ---------------- PROOF ----------------
% 0.91/1.09  % SZS status Unsatisfiable
% 0.91/1.09  % SZS output start Refutation
% 0.91/1.09  
% 0.91/1.09  1 [] {+} -p_0| -q_0.
% 0.91/1.09  4 [] {-} p_0| -q_1| -q_2.
% 0.91/1.09  5 [copy,4,propositional] {+} -q_1| -q_2|p_0.
% 0.91/1.09  12 [] {-} p_2| -q_3| -q_4.
% 0.91/1.09  13 [copy,12,propositional] {+} -q_3| -q_4|p_2.
% 0.91/1.09  16 [] {-} p_3| -q_4| -q_5.
% 0.91/1.09  17 [copy,16,propositional] {+} -q_4| -q_5|p_3.
% 0.91/1.09  20 [] {-} p_4| -q_5| -q_6.
% 0.91/1.09  21 [copy,20,propositional] {+} -q_5| -q_6|p_4.
% 0.91/1.09  24 [] {-} p_5| -q_6| -q_7.
% 0.91/1.09  25 [copy,24,propositional] {+} -q_6| -q_7|p_5.
% 0.91/1.09  28 [] {-} p_6| -q_7| -q_8.
% 0.91/1.09  29 [copy,28,propositional] {+} -q_7| -q_8|p_6.
% 0.91/1.09  32 [] {-} p_7| -q_8| -q_9.
% 0.91/1.09  33 [copy,32,propositional] {+} -q_8| -q_9|p_7.
% 0.91/1.09  36 [] {-} p_8| -q_9| -q_10.
% 0.91/1.09  37 [copy,36,propositional] {+} -q_9| -q_10|p_8.
% 0.91/1.09  40 [] {-} p_9| -q_10| -q_11.
% 0.91/1.09  41 [copy,40,propositional] {+} -q_10| -q_11|p_9.
% 0.91/1.09  44 [] {-} p_10| -q_11| -q_12.
% 0.91/1.09  45 [copy,44,propositional] {+} -q_11| -q_12|p_10.
% 0.91/1.09  48 [] {-} p_11| -q_12| -q_13.
% 0.91/1.09  49 [copy,48,propositional] {+} -q_12| -q_13|p_11.
% 0.91/1.09  52 [] {-} p_12| -q_13| -q_14.
% 0.91/1.09  53 [copy,52,propositional] {+} -q_13| -q_14|p_12.
% 0.91/1.09  54 [] {-} p_13| -p_14| -p_15.
% 0.91/1.09  55 [copy,54,propositional] {+} -p_14| -p_15|p_13.
% 0.91/1.09  60 [] {-} q_0| -q_1| -p_2.
% 0.91/1.09  61 [copy,60,propositional] {+} -p_2| -q_1|q_0.
% 0.91/1.09  64 [] {-} q_1| -q_2| -p_3.
% 0.91/1.09  65 [copy,64,propositional] {+} -q_2| -p_3|q_1.
% 0.91/1.09  68 [] {-} q_2| -q_3| -p_4.
% 0.91/1.09  69 [copy,68,propositional] {+} -q_3| -p_4|q_2.
% 0.91/1.09  72 [] {-} q_3| -q_4| -p_5.
% 0.91/1.09  73 [copy,72,propositional] {+} -q_4| -p_5|q_3.
% 0.91/1.09  76 [] {-} q_4| -q_5| -p_6.
% 0.91/1.09  77 [copy,76,propositional] {+} -q_5| -p_6|q_4.
% 0.91/1.09  80 [] {-} q_5| -q_6| -p_7.
% 0.91/1.09  81 [copy,80,propositional] {+} -q_6| -p_7|q_5.
% 0.91/1.09  84 [] {-} q_6| -q_7| -p_8.
% 0.91/1.09  85 [copy,84,propositional] {+} -q_7| -p_8|q_6.
% 0.91/1.09  88 [] {-} q_7| -q_8| -p_9.
% 0.91/1.09  89 [copy,88,propositional] {+} -q_8| -p_9|q_7.
% 0.91/1.09  92 [] {-} q_8| -q_9| -p_10.
% 0.91/1.09  93 [copy,92,propositional] {+} -q_9| -p_10|q_8.
% 0.91/1.09  96 [] {-} q_9| -q_10| -p_11.
% 0.91/1.09  97 [copy,96,propositional] {+} -q_10| -p_11|q_9.
% 0.91/1.09  100 [] {-} q_10| -q_11| -p_12.
% 0.91/1.09  101 [copy,100,propositional] {+} -q_11| -p_12|q_10.
% 0.91/1.09  104 [] {-} q_11| -q_12| -p_13.
% 0.91/1.09  105 [copy,104,propositional] {+} -q_12| -p_13|q_11.
% 0.91/1.09  108 [] {-} q_12| -q_13| -p_14.
% 0.91/1.09  109 [copy,108,propositional] {+} -q_13| -p_14|q_12.
% 0.91/1.09  112 [] {-} q_13| -q_14| -p_15.
% 0.91/1.09  113 [copy,112,propositional] {+} -q_14| -p_15|q_13.
% 0.91/1.09  118 [] {+} p_14.
% 0.91/1.09  119 [] {+} p_15.
% 0.91/1.09  120 [] {+} q_14.
% 0.91/1.09  122 [hyper,119,55,118] {+} p_13.
% 0.91/1.09  123 [hyper,120,113,119] {+} q_13.
% 0.91/1.09  124 [hyper,123,109,118] {+} q_12.
% 0.91/1.09  125 [hyper,123,53,120] {+} p_12.
% 0.91/1.09  126 [hyper,124,105,122] {+} q_11.
% 0.91/1.09  127 [hyper,124,49,123] {+} p_11.
% 0.91/1.09  128 [hyper,126,101,125] {+} q_10.
% 0.91/1.09  129 [hyper,126,45,124] {+} p_10.
% 0.91/1.09  130 [hyper,128,97,127] {+} q_9.
% 0.91/1.09  131 [hyper,128,41,126] {+} p_9.
% 0.91/1.09  132 [hyper,130,93,129] {+} q_8.
% 0.91/1.09  133 [hyper,130,37,128] {+} p_8.
% 0.91/1.09  135 [hyper,132,89,131] {+} q_7.
% 0.91/1.09  136 [hyper,132,33,130] {+} p_7.
% 0.91/1.09  138 [hyper,135,85,133] {+} q_6.
% 0.91/1.09  139 [hyper,135,29,132] {+} p_6.
% 0.91/1.09  140 [hyper,138,81,136] {+} q_5.
% 0.91/1.09  141 [hyper,138,25,135] {+} p_5.
% 0.91/1.09  142 [hyper,140,77,139] {+} q_4.
% 0.91/1.09  143 [hyper,140,21,138] {+} p_4.
% 0.91/1.09  144 [hyper,142,73,141] {+} q_3.
% 0.91/1.09  145 [hyper,142,17,140] {+} p_3.
% 0.91/1.09  146 [hyper,144,69,143] {+} q_2.
% 0.91/1.09  147 [hyper,144,13,142] {+} p_2.
% 0.91/1.09  148 [hyper,146,65,145] {+} q_1.
% 0.91/1.09  150 [hyper,148,61,147] {+} q_0.
% 0.91/1.09  151 [hyper,148,5,146] {+} p_0.
% 0.91/1.09  152 [hyper,151,1,150] {-} $F.
% 0.91/1.09  
% 0.91/1.09  % SZS output end Refutation
% 0.91/1.09  ------------ end of proof -------------
% 0.91/1.09  
% 0.91/1.09  
% 0.91/1.09  Search stopped by max_proofs option.
% 0.91/1.09  
% 0.91/1.09  
% 0.91/1.09  Search stopped by max_proofs option.
% 0.91/1.09  
% 0.91/1.09  ============ end of search ============
% 0.91/1.09  
% 0.91/1.09  ----------- soft-scott stats ----------
% 0.91/1.09  
% 0.91/1.09  true clauses given           2      (5.9%)
% 0.91/1.09  false clauses given         32
% 0.91/1.09  
% 0.91/1.09        FALSE     TRUE
% 0.91/1.09  tot:  0         0      (-nan% true)
% 0.91/1.09  
% 0.91/1.09  
% 0.91/1.09  Model 33 [ 15 1 3679 ] (0.00 seconds, 13793 Inserts)
% 0.91/1.09  
% 0.91/1.09  That finishes the proof of the theorem.
% 0.91/1.09  
% 0.91/1.09  Process 15810 finished Mon Jul 11 16:33:50 2022
%------------------------------------------------------------------------------